The electric current $$ i $$ at a point in an electric circuit is the instantaneous rate of change of the electric charge $$ q $$ that passes the point, with respect to the time, $$ t $$. Find $$ i $$ in a circuit for which $$ q=51-5 t $$. $$ i=\square $$ (Simplify your answer.)

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Find the derivative with respect to $$ t $$ for $$ q=51-5t $$.
Find the first derivative by following steps:
- step0: Find the derivative with respect to $$t$$:
  $$q=51-5t$$
- step1: Take the derivative:
  $$\frac{d}{dt}\left(q\right)=\frac{d}{dt}\left(51-5t\right)$$
- step2: Calculate the derivative:
  $$\frac{dq}{dt}=\frac{d}{dt}\left(51-5t\right)$$
- step3: Calculate the derivative:
  $$\frac{dq}{dt}=-5$$
The derivative of $$ q $$ with respect to $$ t $$ is $$ \frac{dq}{dt} = -5 $$.

Therefore, the electric current $$ i $$ in the circuit is $$ i = -5 $$ A.
$$ i = -5 $$ A

The electric current at a point in an electric circuit is the instantaneous rate of change of the electric charge that passes the point, with respect to the time, . Find in a circuit for which .
(Simplify your answer.)

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